A collocation method for parabolic quasilinear problems on general domains

DOI10.1016/0377-0427(79)90004-9zbMath0417.65055OpenAlexW2012531694MaRDI QIDQ755286

J. Ben Rosen, Uri M. Ascher

Publication date: 1979

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0377-0427(79)90004-9

zbMATH Keywords

collocation methodapproximate solutionsfinite elementquasilinear parabolic problemsB-spline basiscomputer graphics systemtypical computational results

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Initial-boundary value problems for second-order parabolic equations (35K20) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Initial value problems for second-order parabolic equations (35K15)

Related Items (3)

On the invariance of the interpolation points of the discrete \(\ell_1\)- approximation ⋮ A collocation method for parabolic quasilinear problems on general domains ⋮ A collocation finite element method for integration of the boundary layer equations

Cites Work

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• A Comparison of Global Methods for Linear Two-Point Boundary Value Problems
• $L^\infty $-Multivariate Approximation Theory
• On the nonlinear equations Δ𝑢+𝑒^{𝑢}=0 and ∂𝑣/∂𝑡=Δ𝑣+𝑒^{𝑣}
• The automatic integration of ordinary differential equations
• Applications of Linear Programming to Numerical Analysis
• A Finite Element Collocation Method for Quasilinear Parabolic Equations
• An Improved Algorithm for Discrete $l_1 $ Linear Approximation

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